Finding the Third Proportional to 17,742 and 42,195

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 42,195 = 42,195 : x
2. Step 2: Convert to fraction form
   17,742/42,195 = 42,195/x
3. Step 3: Cross multiply
   17,742x = 42,195 × 42,195
4. Step 4: Simplify right side
   17,742x = 1,780,418,025
5. Step 5: Solve for x
   x = 1,780,418,025/17,742
6. Step 6: Final answer
   x = 100,350.47